"I don't think you're going to go back and reconstitute the multilateral sanctions that were in place," he added in the interview that will air Sunday.

President Donald Trump has been critical of the Iran deal, suggesting during the campaign that he would tear up the agreement negotiated by President Barack Obama's administration. The Trump administration on Friday announced new sanctions on Iran following the test-firing of a medium-range ballistic missile.

"I think we also need to ratchet up sanctions. I think what this administration is doing, which I agree with, is saying, 'We have a new administration, and we're going to hold you, Iran, to account,'" Ryan said. "This last administration did not do that."

Trump's National Security Adviser Michael Flynn announced this week Iran was "on notice."